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Some Numerical Results on Chemotactic Phenomena in Stem Cell Therapy for Cardiac Regeneration

Author

Listed:
  • Daniele Andreucci

    (Department of Basic and Applied Sciences for Engineering, Sapienza University, 00185 Rome, Italy)

  • Alberto M. Bersani

    (Department of Mechanical and Aerospace Engineering, Sapienza University, 00185 Rome, Italy)

  • Enrico Bersani

    (International Research Center on Mathematics and Mechanics of Complex Systems (M&MOCS), 67100 L’Aquila, Italy)

  • Paolo Caressa

    (International Research Center on Mathematics and Mechanics of Complex Systems (M&MOCS), 67100 L’Aquila, Italy
    Current address: Gestore dei Servizi Energetici S.p.A., 00197 Rome, Italy.)

  • Miguel Dumett

    (Computational Science Research Center, San Diego State University, San Diego, CA 92182, USA)

  • Francisco James Leon Trujillo

    (Instituto de Investigación Científica, Universidad de Lima, Santiago de Surco 15023, Peru
    Current address: Coordinación Generales Ciencias, Universidad Continental, Cusco 08000, Peru.)

  • Silvia Marconi

    (International Research Center on Mathematics and Mechanics of Complex Systems (M&MOCS), 67100 L’Aquila, Italy
    Current address: Department of Methods and Models for Economics, Territory and Finance, Sapienza University, 00185 Rome, Italy.)

  • Obidio Rubio

    (Instituto de Investigación en Matemática, Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo 13011, Peru)

  • Yessica E. Zarate-Pedrera

    (Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo 13011, Peru)

Abstract

Biological models for cardiac regeneration and remodeling, along with the effects of cytokines or chemokines during the therapy with mesenchymal stem cells after a myocardial infarction, are of crucial importance for understanding the complex underlying mechanisms. This paper presents a mathematical model composed of three coupled partial differential equations that describes the dynamics of stem cells, nutrients and chemokines, highlighting the fundamental role of the chemokines during the myocardial tissue regeneration process. The system is solved numerically using mimetic difference operators and the MOLE library for MATLAB. The results show the tissue regeneration process in the necrotic part closest to the cell implantation area.

Suggested Citation

  • Daniele Andreucci & Alberto M. Bersani & Enrico Bersani & Paolo Caressa & Miguel Dumett & Francisco James Leon Trujillo & Silvia Marconi & Obidio Rubio & Yessica E. Zarate-Pedrera, 2024. "Some Numerical Results on Chemotactic Phenomena in Stem Cell Therapy for Cardiac Regeneration," Mathematics, MDPI, vol. 12(13), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1937-:d:1420133
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